61980168176640 has 3168 divisors, whose sum is σ = 276823597115520. Its totient is φ = 13219357261824.

The previous prime is 61980168176627. The next prime is 61980168176671. The reversal of 61980168176640 is 4667186108916.

61980168176640 is a `hidden beast` number, since 619 + 8 + 0 + 1 + 6 + 8 + 1 + 7 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84556845714 + ... + 84556846446.

Almost surely, 2^{61980168176640} is an apocalyptic number.

61980168176640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61980168176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138411798557760).

61980168176640 is an abundant number, since it is smaller than the sum of its proper divisors (214843428938880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61980168176640 is a wasteful number, since it uses less digits than its factorization.

61980168176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 61980168176640 in words is "sixty-one trillion, nine hundred eighty billion, one hundred sixty-eight million, one hundred seventy-six thousand, six hundred forty".